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Finding the Fourth Proportional to 209,034, 288,472.19 and 113,540.67

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Solution

The fourth proportional to 209,034, 288,472.19 and 113,540.67 is: 156,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,034 : 288,472.19 = 113,540.67 : x
  2. Step 2: Convert to fraction form
    209,034/288,472.19 = 113,540.67/x
  3. Step 3: Cross multiply
    209,034x = 288,472.19 × 113,540.67
  4. Step 4: Simplify right side
    209,034x = 32,753,325,161.26
  5. Step 5: Solve for x
    x = 32,753,325,161.26/209,034
  6. Step 6: Final answer
    x = 156,688.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.